On perfect 𝐶*-algebras

Archbold, R. J.

doi:10.1090/S0002-9939-1986-0840621-8

On perfect $C^ \ast$-algebras
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by R. J. Archbold PDF

Proc. Amer. Math. Soc. 97 (1986), 413-417 Request permission

Abstract:

It is shown that injective ${C^ * }$-algebras are perfect, as are certain maximal simple ${C^ * }$-algebras. Some properties of the perfect ${C^ * }$-algebra ${A_c}$ arising from a UHF algebra $A$ are obtained by considering a masa with the extension property.

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